314468352 has 288 divisors, whose sum is σ = 1045699200. Its totient is φ = 93265920.

The previous prime is 314468339. The next prime is 314468369. The reversal of 314468352 is 253864413.

314468352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6690793 + ... + 6690839.

It is an arithmetic number, because the mean of its divisors is an integer number (3630900).

Almost surely, 2^314468352 is an apocalyptic number.

314468352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314468352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522849600).

314468352 is an abundant number, since it is smaller than the sum of its proper divisors (731230848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314468352 is a wasteful number, since it uses less digits than its factorization.

314468352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 63 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 314468352 is about 17733.2555386765. The cubic root of 314468352 is about 680.0262042958.

The spelling of 314468352 in words is "three hundred fourteen million, four hundred sixty-eight thousand, three hundred fifty-two".